The number 47309
47309 is the 4879th prime number. Its only divisors are 1 and 47309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47309: the 4879th prime number.
- 2
47309 is prime, so its only factors are 1 and 47309. It is the 4879th prime; the next prime is 47317 and the one before is 47303.
- 3
The divisors add up to 47310; without 47309 itself that is 1, so 47309 is deficient (1 is less than 47309). Euler's totient φ(47309) = 47308 numbers up to 47309 share no factor with it.
- 4
The digits of 47309 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47309 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47310 |
| Euler totient φ(n) | 47308 |
| Square | 2238141481 |
| Cube | 105884235324629 |
| Square root | 217.506322 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7309 × |
47309 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and nine |
| Binary (base 2) | 1011100011001101 |
| Octal (base 8) | 134315 |
| Hexadecimal (base 16) | B8CD |
| Base 3 | 2101220012 |
| As time | 47309 seconds = 13 h 8 min 29 s |
Is 47309 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47309 a prime number?
Yes. 47309 is divisible only by 1 and itself.
What are the factors of 47309?
1, 47309.
What is 47309 in binary?
1011100011001101 (hexadecimal B8CD, octal 134315).
What is the square root of 47309?
About 217.5063.
Is 47309 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47309?
47309 is the 4879th prime number.